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Finding the Fourth Proportional to 54,382.92, 75,031.60 and 31,705.86

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Solution

The fourth proportional to 54,382.92, 75,031.60 and 31,705.86 is: 43,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382.92 : 75,031.60 = 31,705.86 : x
  2. Step 2: Convert to fraction form
    54,382.92/75,031.60 = 31,705.86/x
  3. Step 3: Cross multiply
    54,382.92x = 75,031.60 × 31,705.86
  4. Step 4: Simplify right side
    54,382.92x = 2,378,941,244.68
  5. Step 5: Solve for x
    x = 2,378,941,244.68/54,382.92
  6. Step 6: Final answer
    x = 43,744.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.